40449664 has 64 divisors (see below), whose sum is σ = 88403400. Its totient is φ = 18350080.

The previous prime is 40449631. The next prime is 40449667. The reversal of 40449664 is 46694404.

It can be written as a sum of positive squares in 4 ways, for example, as 40449600 + 64 = 6360^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (40449667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62784 + ... + 63424.

Almost surely, 2^40449664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44201700).

40449664 is an abundant number, since it is smaller than the sum of its proper divisors (47953736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40449664 is a wasteful number, since it uses less digits than its factorization.

40449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 40449664 is about 6360.0050314446. The cubic root of 40449664 is about 343.2719413486.

It can be divided in two parts, 404496 and 64, that multiplied together give a square (25887744 = 5088²).

The spelling of 40449664 in words is "forty million, four hundred forty-nine thousand, six hundred sixty-four".